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Finding the Third Proportional to 44,964.94 and 65,989.31

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Solution

The third proportional to 44,964.94 and 65,989.31 is: 96,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,964.94 : 65,989.31 = 65,989.31 : x
  2. Step 2: Convert to fraction form
    44,964.94/65,989.31 = 65,989.31/x
  3. Step 3: Cross multiply
    44,964.94x = 65,989.31 × 65,989.31
  4. Step 4: Simplify right side
    44,964.94x = 4,354,589,364.22
  5. Step 5: Solve for x
    x = 4,354,589,364.22/44,964.94
  6. Step 6: Final answer
    x = 96,844.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.